Question

Explain why the value of the sin ratio for an acute angle of a right triangle must always be positive value less than 1

Answer 1

Because the ratio always have to be greater than 1

Answer 2

Sample Response: The sine ratio is the length of the side opposite a given acute angle divided by the length of the hypotenuse. Because the hypotenuse is the side opposite the largest angle, the 90° angle, it has to be the longest side. Thus, the ratio will have a denominator that is larger than the numerator, and the ratio will be less than 1.

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